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Finding the Fourth Proportional to 7,550.78, 10,420.07 and 4,193.46

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Solution

The fourth proportional to 7,550.78, 10,420.07 and 4,193.46 is: 5,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,550.78 : 10,420.07 = 4,193.46 : x
  2. Step 2: Convert to fraction form
    7,550.78/10,420.07 = 4,193.46/x
  3. Step 3: Cross multiply
    7,550.78x = 10,420.07 × 4,193.46
  4. Step 4: Simplify right side
    7,550.78x = 43,696,125.77
  5. Step 5: Solve for x
    x = 43,696,125.77/7,550.78
  6. Step 6: Final answer
    x = 5,786.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.